Results 1 to 10 of about 401,268 (136)

A Priori Error Estimates for Mixed Finite Element Schemes for the Wave Equation [PDF]

open access: yesSultan Qaboos University Journal for Science, 2015
A family of implicit-in-time mixed finite element schemes is presented for the numerical approximation of the acoustic wave equation. The mixed space discretization is based on the displacement form of the wave equation and the time-stepping method ...
Samir Karaa
doaj   +6 more sources

Error estimates for approximating fixed points and best proximity points for noncyclic and cyclic contraction mappings [PDF]

open access: yesIranian Journal of Numerical Analysis and Optimization, 2023
In this article, we find a priori and a posteriori error estimates of the fixed point for the Picard iteration associated with a noncyclic contraction map, which is defined on a uniformly convex Banach space with a modulus of convexity of power type.
A. Safari-Hafshejani
doaj   +1 more source

On the fully discrete approximations of the MGT two-temperatures thermoelastic problem

open access: yesArchives of Mechanics, 2022
We consider a one-dimensional two-temperatures thermoelastic model. The corresponding variational problem leads to a coupled system which is written in terms of the mechanical velocity, the temperature speed and the inductive temperature.
J. Baldonedo   +2 more
doaj   +1 more source

Quasistatic Porous-Thermoelastic Problems: An a Priori Error Analysis

open access: yesMathematics, 2021
In this paper, we deal with the numerical approximation of some porous-thermoelastic problems. Since the inertial effects are assumed to be negligible, the resulting motion equations are quasistatic.
Jacobo Baldonedo   +2 more
doaj   +1 more source

A Priori and a Posteriori Error Analysis for Generic Linear Elliptic Problems

open access: yesTikrit Journal of Pure Science, 2022
In this paper, a priori error analysis has been examined for the continuous Galerkin finite element method which is used for solving a generic scalar and a generic system of linear elliptic equations.
Hala Raad, Mohammad Sabawi
doaj   +1 more source

Dependence of the Analytical Approximate Solution to the Van der Pol Equation on the Perturbation of a Moving Singular Point in the Complex Domain

open access: yesAxioms, 2023
This paper considers a theoretical substantiation of the influence of a perturbation of a moving singular point on the analytical approximate solution to the Van der Pol equation obtained earlier by the author.
Victor Orlov
doaj   +1 more source

Residual-based a posteriori error estimates for the hp version of the finite element discretization of the elliptic Robin boundary control problem

open access: yesResults in Applied Mathematics, 2022
Optimal control problems governed by partial differential equations have become a very active and successful research area. So, in this paper, we analyzed a priori and a posteriori error estimates for the hpfinite element discretization of elliptic Robin
Samuel Gbéya   +3 more
doaj   +1 more source

Numerical Analysis of a Swelling Poro-Thermoelastic Problem with Second Sound

open access: yesMathematics, 2023
In this paper, we analyze, from the numerical point of view, a swelling porous thermo-elastic problem. The so-called second-sound effect is introduced and modeled by using the simplest Maxwell–Cattaneo law. This problem leads to a coupled system which is
Noelia Bazarra   +2 more
doaj   +1 more source

Numerical Analysis of an Osseointegration Model

open access: yesMathematics, 2020
In this work, we study a bone remodeling model used to reproduce the phenomenon of osseointegration around endosseous implants. The biological problem is written in terms of the densities of platelets, osteogenic cells, and osteoblasts and the ...
Jacobo Baldonedo   +2 more
doaj   +1 more source

A priori error estimates of finite volume element method for bilinear parabolic optimal control problem

open access: yesAIMS Mathematics, 2023
In this paper, we study the finite volume element method of bilinear parabolic optimal control problem. We will use the optimize-then-discretize approach to obtain the semi-discrete finite volume element scheme for the optimal control problem. Under some
Zuliang Lu   +3 more
doaj   +1 more source

Home - About - Disclaimer - Privacy